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Counterexamples in unbalanced two-way analysis of variance
Authors:D.S. Burdick  D.G. Herr
Affiliation:1. Duke University , Durham, North Carolina;2. University of North Carolina at Greensboro , Greensboro, North Carolina
Abstract:Recommended methods for analyzing unbalanced two-way data may be classified into two major categories:the parametric interpretation approach and the model comparison approach. Each approach has its advantages and its drawbacks. The main drawback of the parametric interpretation approach is non-orthogonality.For the model comparison approach the main drawback is the dependence of the hypothesis tested on the cell sizes. In this paper we provide examples to illustrate these drawbacks.
Keywords:unbalanced  two-way anova  proportional cell sizes  nonorthogonality  disguised interaction effects
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